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Coding problem: Rainwater Between Walls. `heights` lists the heights of walls of width 1 standing side by side. After heavy rain, water fills every dip that has taller walls on both sides; anything above the outer edges runs off. Return the total units of water held.

TechnicalSeniorTests: Problem solving
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What the interviewer is looking for

  • What a strong solution looks like: two pointers from both ends tracking leftMax and rightMax; move the side whose max is smaller, adding max - height there. O(n) time, O(1) space. Prefix and suffix max arrays (O(n) space) or a monotonic stack are good stepping stones.
  • Think aloud. Interviewers are judging how you reason, not only the final code.
  • Be ready for: The 2-D version — a height map grid (a priority queue growing inward from the border). Return how much water each position holds. Walls change over time — can you update the total without recomputing everything?

A structure to follow: Clarify, plan, code, test, analyse

  1. Step 1

    Clarify

    Restate the problem, ask about empty input, duplicates and size limits, and agree on one example.

  2. Step 2

    Plan

    Say the simple approach first and its cost, then the better one. Explain why before you type.

  3. Step 3

    Code

    Write small named steps and talk through each. A clear solution beats a clever one.

  4. Step 4

    Test

    Walk your own example through the code, then an edge case. Fix what you find calmly.

  5. Step 5

    Analyse

    State time and space cost in plain words and say what you would change for much larger input.

This is guidance on shape, not a script. Use your own real experience and facts; never invent details to fill a gap. See the STAR guide and answer frameworks.

Common slips

  • Starting to code before agreeing what the answer must be.
  • Going silent when stuck instead of saying what you are trying.
  • Never running your own example through the code.

How to practise it

Solve it once in the editor without hints, then explain your solution aloud in under two minutes.

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Coding problem: Rainwater Between Walls. `heights` lists the heights of walls of width ... | How to answer